Chelsea spent more than 400 million pounds to bring in 13 new players last year, including Palmer from Manchester City.
Despite the outlay, Chelsea have struggled for consistency this season, which has prompted fans to turn on the manager and the club's US owners.
Palmer has brought a few bright spots in Chelsea's dismal season, with the England international scoring 13 goals and registering 11 assists for Chelsea in all competitions.
"In the same time that you ask me about Palmer, not all the players have the same process to be settled at the club or to perform," Pochettino told reporters.
"We are in a process that the main group, the main young players struggle a little bit to deal with the pressure to play for Chelsea."
Chelsea are 11th in the league on 39 points, three points behind Brighton in eighth place, but have a game in hand. They play Leicester in the FA Cup quarter-finals on Sunday.
